On coarse embeddability into ℓp\ell_p-spaces and a conjecture of Dranishnikov

preprint2004arXivOpen access

Abstract

We show that the Hilbert space is coarsely embeddable into any ℓp\ell_p for 1≤p<∞1\le p<\infty. In particular, this yields new characterizations of embeddability of separable metric spaces into the Hilbert space.

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